After the GOP Conference meeting, Cheney spoke to reporters and repeated that she is committed to advancing the Republican Party -- but not the agenda of the former president.

"I am absolutely committed as I said last night, as I said just now to my colleagues, that we must go forward based on truth. We cannot both embrace the big lie and embrace the Constitution," she said. "The nation needs a strong Republican Party, the nation needs a party that that is based upon fundamental principles of conservatism, and I am committed and dedicated to ensuring that that's how this party goes forward, and I plan to lead the fight to do that."

Asked if she was concerned that Trump might end up back in the Oval Office, Cheney said she "will do everything I can to ensure that the former president never again gets anywhere near the Oval Office."

"We have seen the danger that he continues to provoke with his language. We have seen his lack of commitment and dedication to the Constitution. And I think it's very important that we make sure whomever we elect, is somebody who will be faithful to the Constitution," she said.

She said she didn't feel betrayed by her colleagues' vote, when asked, but warned of the GOP falling in line with the former president's "very dangerous lies" and said there's work to do for the future of the party.

"I do not. I think that it is an indication of where the Republican Party is, and I think that the party is in a place that we've got to bring it back from, And we've got to get back to a position where we are a party that can fight for conservative principles that can fight for substance, we cannot be dragged backward, by the very dangerous lies of a former president," she said.

Former President Donald Trump, in a series of statements Wednesday as the vote was happening, attacked Cheney with personal insults -- following through on his promise since leaving office to inflict revenge on his enemies.

"Liz Cheney is a bitter, horrible human being," Trump said in a statement following her ouster. "She is a warmonger whose family stupidly pushed us into the never-ending Middle East Disaster, draining our wealth and depleting our Great Military, the worst decision in our Country’s history. I look forward to soon watching her as a Paid Contributor on CNN or MSDNC!'"

In an earlier statement ahead of the vote, Trump encouraged her removal and said Cheney has "absolutely no personality or heart."

Despite Trump's attacks, Cheney is not backing down from her criticisms, vowing after the vote to "do everything I can to ensure the former president never gets anywhere near the Oval Office."

House Republicans removed Cheney from the No. 3 leadership post via a voice vote.

While a secret ballot was expected, and was the method used in February when Cheney faced another challenge to her post and prevailed 145-61, House Minority Leader Kevin McCarthy rejected calls for one.

Illinois Rep. Adam Kinzinger, who is in the party's minority for publicly supporting Cheney, said following the meeting that McCarthy said he opted for a voice vote instead to "show unity."

A voice vote is taken by evaluating the relative strength and volume of "aye" and "no" calls. Since the vote was conducted behind closed doors in a conference-wide meeting, it's unlikely many Republicans will let their positions be known in public, but it makes it harder to assess how much support Cheney had.

Following the vote to oust Cheney, New York Rep. Elise Stefanik formally announced her bid for House Republican Conference Chair with a letter to her GOP colleagues asking for their vote.

She blamed the news media for dividing the Republican Party and vowed to regain the majority and "fire Speaker Pelosi once and for all."

The note comes amid growing concern among the conservative wing of the Republican Party that Stefanik, with a more moderate voting record than Cheney, is not conservative enough for the job.